• Title/Summary/Keyword: Fourier index

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Rigorous Analysis for Optical Impacts of Tapered Sidewall Profile on Trapezoidal Diffraction Grating (사다리꼴 회절격자에서 테이퍼 측면의 광학적 효과에 대한 정확한 분석)

  • Ho, Kwang-Chun
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.20 no.5
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    • pp.151-156
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    • 2020
  • To analyze the diffraction properties of optical signals and the significant impacts of tapered sidewall profile at periodic trapezoidal 2D diffraction gratings, Toeplitz dielectric tensor is first defined and formulated by 2D spatial Fourier expansions associated with trapezoidal profile. The characteristic modes in each layer is then based on eigenvalue problem, and the complete solution is found rigorously in terms of modal transmission-line theory (MTLT) to address the pertinent boundary-value problems. Based on those one, the numerical analysis is performed on how the tapered side profile of grating structures with trapezoidal refractive index distribution affects the design of a sub-wavelength grating reflector. The numerical results reveal that this tapered sidewall profile plays a critical role in determining the reflection bandwidth, the average reflectance, and the band edge.

The Effects of Sa-Am Acupuncture on Radial Pulse in Healthy Subjects: A Comparative Study of Large Intestine Tonifying and Sedating (대장정격 및 승격 자침이 정상 성인의 맥파에 미치는 영향 비교 연구)

  • Cho, Eun;Lee, Hyun
    • Journal of Acupuncture Research
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    • v.31 no.3
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    • pp.7-18
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    • 2014
  • Objectives : The purpose of this study is to find parameters to compare the effects of Sa-Am acupuncture with large intestine tonifying and sedating on radial pulse in healthy subjects. Methods : Sixty healthy subjects participated in this study, divided into large intestine tonifying acupuncture group, large intestine sedating acupuncture group and control group. Radial pulse was measured by 3 dimensional pulse imaging system(DMP-3000) before, right after, 30 minutes after and 60 minutes after acupuncture at Cun, Guan, and Chi in the acupuncture group and in the control group at the same time points. Results : 1. Angle of main peak and magnitude of fourier component significantly changed by integrated analysis of Cun, Guan and Chi. 2. Amplitude of H1, Pulse Power volume / min, elasticity, AIx / HR, Frequency and magnitude of fourier component significantly changed by analysis of Cun, Guan, and Chi. Conclusions : The effect of Sa-Am acupuncture with large intestine tonifying and sedating in healthy human may be observed on time, amplitude, pulse area, augmentation index and fourier components parameters. The parameters analysed in this study may be used to differentiate the effects between Sa-Am acupuncture with large intestine tonifying and sedating on radial pulse. Further studies on the effects of Sa-Am acupuncture using radial pulse are needed.

Applications of Hilbert-Huang transform to structural damage detection

  • Chiou, Dung-Jiang;Hsu, Wen-Ko;Chen, Cheng-Wu;Hsieh, Chih-Min;Tang, Jhy-Pyng;Chiang, Wei-Ling
    • Structural Engineering and Mechanics
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    • v.39 no.1
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    • pp.1-20
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    • 2011
  • This study investigates the feasibility of detecting structural damage using the HHT method. A damage detection index, the ratio of bandwidth (RB) is proposed. This index is highly correlated or approximately equal to the change of equivalent damping ratio for an intact structure incurring damage from strong ground motions. Based on an analysis of shaking table test data from benchmark models subjected to adjusted Kobe and El Centro earthquakes, the damage detection index is evaluated using the Hilbert-Huang Transform (HHT) and the Fast Fourier Transform (FFT) methods, respectively. Results indicate that, when the response of the structure is in the elastic region, the RB value only slightly changes in both the HHT and the FFT spectra. Additionally, RB values estimated from the HHT spectra vs. the PGA values change incrementally when the structure response is nonlinear i.e., member yielding occurs, but not in the RB curve from the FFT spectra. Moreover, the RB value of the top floor changes more than those from the other floors. Furthermore, structural damage is detected only when using the acceleration response data from the top floor. Therefore, the ratio of bandwidth RB estimated from the smoothed HHT spectra is an effective and sensitive damage index for detecting structural damage. Results of this study also demonstrate that the HHT is a powerful method in analyzing the nonlinear responses of steel structures to strong ground motions.

The application of a chemical assessment of archaeological animal bone by Fourier transform infrared spectroscopy and x-ray diffraction (FTIR과 XRD를 이용한 출토 동물뼈의 화학적 평가 적용)

  • Kang, Soyeong;Cho, Eun Min;Kim, Sue Hoon;Kim, Yun-Ji;Lee, Jeongwon
    • Analytical Science and Technology
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    • v.27 no.6
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    • pp.300-307
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    • 2014
  • For the application of chemical assessment standards by the extent of diagenetic alteration, we investigated three archaeological animal bones and a modern animal bone using Fourier transform infrared-attenuated total reflection (FTIR-ATR) spectroscopy and x-ray diffraction (XRD) analysis. The calculating results of crystallinity index (CI), carbonate-to-phosphate (C/P) and carbonate-to-carbonate (C/C) using FTIR-ATR spectra showed differences CI and C/P according to the preservative condition of animal bones. By comparison of the crystallinity contents using XRD patterns, the states of animal bones were distinguished to the range of $30^{\circ}-35^{\circ}$. As results of FTIR-ATR and XRD analysis, it is suggested that Mongolian large mammals bone presents the best preservative condition, and cattle bone from Naju site, and Haman site followed. In addition, those were correlated with the results of histological index. The results suggested that the chemical assessment standards may contribute to application of predictions of the states of animal bones discovered from Korea.

Nonlinear Conte-Zbilut-Federici (CZF) Method of Computing LF/HF Ratio: A More Reliable Index of Changes in Heart Rate Variability

  • Vernon Bond, Jr;Curry, Bryan H;Kumar, Krishna;Pemminati, Sudhakar;Gorantla, Vasavi R;Kadur, Kishan;Millis, Richard M
    • Journal of Pharmacopuncture
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    • v.19 no.3
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    • pp.207-212
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    • 2016
  • Objectives: Acupuncture treatments are safe and effective for a wide variety of diseases involving autonomic dysregulation. Heart rate variability (HRV) is a noninvasive method for assessing sympathovagal balance. The low frequency/high frequency (LF/HF) spectral power ratio is an index of sympathovagal influence on heart rate and of cardiovascular health. This study tests the hypothesis that from rest to 30% to 50% of peak oxygen consumption, the nonlinear Conte-Zbilut-Federici (CZF) method of computing the LF/HF ratio is a more reliable index of changes in the HRV than linear methods are. Methods: The subjects of this study were 10 healthy young adults. Electrocardiogram RR intervals were measured during 6-minute periods of rest and aerobic exercise on a cycle ergometer at 30% and 50% of peak oxygen consumption ($VO_{2peak}$). Results: The frequency domain CZF computations of the LF/HF ratio and the time domain computations of the standard deviation of normal-to-normal intervals (SDNN) decreased sequentially from rest to 30% $VO_{2peak}$ (P < 0.001) to 50% $VO_{2peak}$ (P < 0.05). The SDNN and the CZF computations of the LF/HF ratio were positively correlated (Pearson's r = 0.75, P < 0.001). fast Fourier transform (FFT), autoregressive (AR) and Lomb periodogram computations of the LF/HF ratio increased only from rest to 50% $VO_{2peak}$. Conclusion: Computations of the LF/HF ratio by using the nonlinear CZF method appear to be more sensitive to changes in physical activity than computations of the LF/HF ratio by using linear methods. Future studies should determine whether the CZF computation of the LF/HF ratio improves evaluations of pharmacopuncture and other treatment modalities.

Multi-scale Correlation Analysis between Sea Level Anomaly and Climate Index through Wavelet Approach (웨이블릿 접근을 통한 해수면 높이와 기후 지수간의 다중 스케일 상관 관계 분석)

  • Hwang, Do-Hyun;Jung, Hahn Chul
    • Korean Journal of Remote Sensing
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    • v.38 no.5_1
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    • pp.587-596
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    • 2022
  • Sea levels are rising as a result of climate change, and low-lying areas along the coast are at risk of flooding. Therefore, we tried to investigate the relationship between sea level change and climate indices using satellite altimeter data (Topex/Poseidon, Jason-1/2/3) and southern oscillation index (SOI) and the Pacific decadal oscillation (PDO) data. If time domain data were converted to frequency domain, the original data can be analyzed in terms of the periodic components. Fourier transform and Wavelet transform are representative periodic analysis methods. Fourier transform can provide only the periodic signals, whereas wavelet transform can obtain both the periodic signals and their corresponding time location. The cross-wavelet transformation and the wavelet coherence are ideal for analyzing the common periods, correlation and phase difference for two time domain datasets. Our cross-wavelet transform analysis shows that two climate indices (SOI, PDO) and sea level height was a significant in 1-year period. PDO and sea level height were anti-phase. Also, our wavelet coherence analysis reveals when sea level height and climate indices were correlated in short (less than one year) and long periods, which did not appear in the cross wavelet transform. The two wavelet analyses provide the frequency domains of two different time domain datasets but also characterize the periodic components and relative phase difference. Therefore, our research results demonstrates that the wavelet analyses are useful to analyze the periodic component of climatic data and monitor the various oceanic phenomena that are difficult to find in time series analysis.

Improvement in Computation of Δ V10 Flicker Severity Index Using Intelligent Methods

  • Moallem, Payman;Zargari, Abolfazl;Kiyoumarsi, Arash
    • Journal of Power Electronics
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    • v.11 no.2
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    • pp.228-236
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    • 2011
  • The ${\Delta}\;V_{10}$ or 10-Hz flicker index, as a common method of measurement of voltage flicker severity in power systems, requires a high computational cost and a large amount of memory. In this paper, for measuring the ${\Delta}\;V_{10}$ index, a new method based on the Adaline (adaptive linear neuron) system, the FFT (fast Fourier transform), and the PSO (particle swarm optimization) algorithm is proposed. In this method, for reducing the sampling frequency, calculations are carried out on the envelope of a power system voltage that contains a flicker component. Extracting the envelope of the voltage is implemented by the Adaline system. In addition, in order to increase the accuracy in computing the flicker components, the PSO algorithm is used for reducing the spectral leakage error in the FFT calculations. Therefore, the proposed method has a lower computational cost in FFT computation due to the use of a smaller sampling window. It also requires less memory since it uses the envelope of the power system voltage. Moreover, it shows more accuracy because the PSO algorithm is used in the determination of the flicker frequency and the corresponding amplitude. The sensitivity of the proposed method with respect to the main frequency drift is very low. The proposed algorithm is evaluated by simulations. The validity of the simulations is proven by the implementation of the algorithm with an ARM microcontroller-based digital system. Finally, its function is evaluated with real-time measurements.

The effect of resin thickness on polymerization characteristics of silorane-based composite resin

  • Son, Sung-Ae;Roh, Hyoung-Mee;Hur, Bock;Kwon, Yong-Hoon;Park, Jeong-Kil
    • Restorative Dentistry and Endodontics
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    • v.39 no.4
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    • pp.310-318
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    • 2014
  • Objectives: This study examined the influence of the resin thickness on the polymerization of silorane- and methacrylate-based composites. Materials and Methods: One silorane-based (Filtek P90, 3M ESPE) and two methacrylate-based (Filtek Z250 and Z350, 3M ESPE) composite resins were used. The number of photons were detected using a photodiode detector at the different thicknesses (thickness, 1, 2 and 3 mm) specimens. The microhardness of the top and bottom surfaces was measured (n = 15) using a Vickers hardness with 200 gf load and 15 sec dwell time conditions. The degree of conversion (DC) of the specimens was determined using Fourier transform infrared spectroscopy (FTIR). Scratched powder of each top and bottom surface of the specimen dissolved in ethanol for transmission FTIR spectroscopy. The refractive index was measured using a Abbe-type refractometer. To measure the polymerization shrinkage, a linometer was used. The results were analyzed using two-way ANOVA and Tukey's test at p < 0.05 level. Results: The silorane-based resin composite showed the lowest filler content and light attenuation among the specimens. P90 showed the highest values in the DC and the lowest microhardness at all depth. In the polymerization shrinkage, P90 showed a significantly lower shrinkage than the rest two resin products (p < 0.05). P90 showed a significantly lower refractive index than the remaining two resin products (p < 0.05). Conclusions: DC, microhardness, polymerization rate and refractive index linearly decreased as specimen thickness linearly increased. P90 showed much less polymerization shrinkage compared to other specimens. P90, even though achieved the highest DC, showed the lowest microhardness and refractive index.

Localized evaluation of actuator tracking for real-time hybrid simulation using frequency-domain indices

  • Xu, Weijie;Guo, Tong;Chen, Cheng
    • Structural Engineering and Mechanics
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    • v.62 no.5
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    • pp.631-642
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    • 2017
  • Accurate actuator tracking plays an important role in real-time hybrid simulation (RTHS) to ensure accurate and reliable experimental results. Frequency-domain evaluation index (FEI) interprets actuator tracking into amplitude and phase errors thus providing a promising tool for quantitative assessment of real-time hybrid simulation results. Previous applications of FEI successfully evaluated actuator tracking over the entire duration of the tests. In this study, FEI with moving window technique is explored to provide post-experiment localized actuator tracking assessment. Both moving window with and without overlap are investigated through computational simulations. The challenge is discussed for Fourier Transform to satisfy both time domain and frequency resolution for selected length of moving window. The required data window length for accuracy is shown to depend on the natural frequency and structural nonlinearity as well as the ground motion input for both moving windows with and without overlap. Moving window without overlap shows better computational efficiency and has potential for future online evaluation. Moving window with overlap however requires much more computational efforts and is more suitable for post-experiment evaluation. Existing RTHS data from Network Earthquake Engineering Simulation (NEES) is utilized to further demonstrate the effectiveness of the proposed approaches. It is demonstrated that with proper window size, FEI with moving window techniques enable accurate localized evaluation of actuator tracking for real-time hybrid simulation.

Utilization of Saline Solutions in the Modification of Lignocellulose from Champaca Wood

  • Sangian, Hanny F.;Sehe, Muhammad Rifai;Tamuntuan, Gerald H.;Zulnazri, Zulnazri
    • Journal of the Korean Wood Science and Technology
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    • v.46 no.4
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    • pp.368-379
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    • 2018
  • Objective of this work is to study the effects of a saline solution used to pretreat lignocellulosic material derived from champak timber. The native lignocellulosic solids, in powder form, were mixed with saline water solutions of three different concentrations and maintained for 2 weeks without stirring. The treated solids were washed, recovered, and then dried under sunlight. The substrates were characterized using X-ray diffraction (XRD), Fourier-transform infrared (FTIR) spectroscopy, and scanning electron microscopy (SEM). The crystallinity (CrI), lateral order index (LOI), total crystallinity index (TCI), and surface morphologies of all the samples were determined. The treated biomass structures were compared with controls. The data show that the structures of all the treated substrates changed, as indicated by CrI. CrI of the treated substrates decreased significantly compared with that of the original wood, as did LOI and TCI quantities, whereas the HBI parameter increased. The results indicate that the saline water pretreatment modified the wood samples.